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Finding the Fourth Proportional to 107,302.40, 160,952.80 and 32,422.40

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Solution

The fourth proportional to 107,302.40, 160,952.80 and 32,422.40 is: 48,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.40 : 160,952.80 = 32,422.40 : x
  2. Step 2: Convert to fraction form
    107,302.40/160,952.80 = 32,422.40/x
  3. Step 3: Cross multiply
    107,302.40x = 160,952.80 × 32,422.40
  4. Step 4: Simplify right side
    107,302.40x = 5,218,476,062.72
  5. Step 5: Solve for x
    x = 5,218,476,062.72/107,302.40
  6. Step 6: Final answer
    x = 48,633.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.